What is the domain and range of #y=log_2x#?

1 Answer
Jul 31, 2017

Answer:

Domain: #(0,oo)#

Range: #RR#

Explanation:

First, remember that you cannot take #log(0)# and you cannot take the logarithm of a negative number and get a real number

So, #x>0 => x in (0,oo)# which is our domain

Also, by the definition of #log_2x#

#y=log_2x#

#<=>#

#2^y=x#

which is defined for all real numbers #(RR)# , which gives us our range